213312288 has 144 divisors (see below), whose sum is σ = 658101024. Its totient is φ = 60318720.

The previous prime is 213312283. The next prime is 213312361. The reversal of 213312288 is 882213312.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (213312283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 644283 + ... + 644613.

It is an arithmetic number, because the mean of its divisors is an integer number (4570146).

Almost surely, 2^213312288 is an apocalyptic number.

213312288 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213312288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329050512).

213312288 is an abundant number, since it is smaller than the sum of its proper divisors (444788736).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

213312288 is a wasteful number, since it uses less digits than its factorization.

213312288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 480 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 213312288 is about 14605.2144112985. The cubic root of 213312288 is about 597.5009837580.

The spelling of 213312288 in words is "two hundred thirteen million, three hundred twelve thousand, two hundred eighty-eight".